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Directions to Solve
In this type of questions, one term in the number series is wrong. Find out the wrong term.
2, 5, 10, 17, 26, 37, 50, 64
- a)17
- b)26
- c)37
- d)64
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The terms of the series are (12 + 1), (22 + 1), (32 + 1), (42 + 1), (52 + 1), (62 + 1),
(72+1),.....
So, 64 is wrong and must be replaced by (82 + 1) i.e. 65.
Most Upvoted Answer
Directions to Solve ...
Explanation:
The given number series is: 2, 5, 10, 17, 26, 37, 50, 64
To identify the wrong term, we need to find the pattern or rule followed in the series.
Pattern:
If we observe the given series carefully, we can notice that each term is obtained by adding consecutive odd numbers starting from 1.
Let's break down the series and find the differences between consecutive terms:
2, 5, 10, 17, 26, 37, 50, 64
3, 5, 7, 9, 11, 13, 14
Analysis of Differences:
From the differences, we can see that the pattern is increasing by 2 each time.
Explanation:
- The difference between the first and second terms is 3.
- The first term is 2, and the second term is 5 (2 + 3).
- The difference between the second and third terms is 5.
- The second term is 5, and the third term is 10 (5 + 5).
- The difference between the third and fourth terms is 7.
- The third term is 10, and the fourth term is 17 (10 + 7).
- The difference between the fourth and fifth terms is 9.
- The fourth term is 17, and the fifth term is 26 (17 + 9).
- The difference between the fifth and sixth terms is 11.
- The fifth term is 26, and the sixth term is 37 (26 + 11).
- The difference between the sixth and seventh terms is 13.
- The sixth term is 37, and the seventh term is 50 (37 + 13).
- The difference between the seventh and eighth terms is 14.
- The seventh term is 50, and the eighth term is 64 (50 + 14).
Identifying the Wrong Term:
Now, we can clearly see that the difference between the seventh and eighth terms should be 13, but it is given as 14. Hence, the wrong term in the series is 64 (option D).
Conclusion:
The correct answer is option D. The wrong term in the given number series is 64.
The given number series is: 2, 5, 10, 17, 26, 37, 50, 64
To identify the wrong term, we need to find the pattern or rule followed in the series.
Pattern:
If we observe the given series carefully, we can notice that each term is obtained by adding consecutive odd numbers starting from 1.
Let's break down the series and find the differences between consecutive terms:
2, 5, 10, 17, 26, 37, 50, 64
3, 5, 7, 9, 11, 13, 14
Analysis of Differences:
From the differences, we can see that the pattern is increasing by 2 each time.
Explanation:
- The difference between the first and second terms is 3.
- The first term is 2, and the second term is 5 (2 + 3).
- The difference between the second and third terms is 5.
- The second term is 5, and the third term is 10 (5 + 5).
- The difference between the third and fourth terms is 7.
- The third term is 10, and the fourth term is 17 (10 + 7).
- The difference between the fourth and fifth terms is 9.
- The fourth term is 17, and the fifth term is 26 (17 + 9).
- The difference between the fifth and sixth terms is 11.
- The fifth term is 26, and the sixth term is 37 (26 + 11).
- The difference between the sixth and seventh terms is 13.
- The sixth term is 37, and the seventh term is 50 (37 + 13).
- The difference between the seventh and eighth terms is 14.
- The seventh term is 50, and the eighth term is 64 (50 + 14).
Identifying the Wrong Term:
Now, we can clearly see that the difference between the seventh and eighth terms should be 13, but it is given as 14. Hence, the wrong term in the series is 64 (option D).
Conclusion:
The correct answer is option D. The wrong term in the given number series is 64.
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Community Answer
Directions to Solve ...
Ans is D. Because the pattern follows the gap of odd numbers. 3,5,7,9 andso on.And in between the last two numbers there is gap of 14 .
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Directions to Solve In this type of questions, one term in the number series is wrong. Find out the wrong term. Question - 2, 5, 10, 17, 26, 37, 50, 64a)17b)26c)37d)64Correct answer is option 'D'. Can you explain this answer?
Question Description
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